# Sampling based approximation of linear functionals in Reproducing Kernel Hilbert Spaces

@article{Santin2020SamplingBA, title={Sampling based approximation of linear functionals in Reproducing Kernel Hilbert Spaces}, author={Gabriele Santin and Toni Karvonen and Bernard Haasdonk}, journal={ArXiv}, year={2020}, volume={abs/2004.00556} }

In this paper we analyze a greedy procedure to approximate a linear functional defined in a Reproducing Kernel Hilbert Space by nodal values. This procedure computes a quadrature rule which can be applied to general functionals, including integration functionals. For a large class of functionals, we prove convergence results for the approximation by means of uniform and greedy points which generalize in various ways several known results. A perturbation analysis of the weights and node… CONTINUE READING

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